invitation to geometry dover books on mathematics

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Invitation To Geometry

Author : Z. A. Melzak
ISBN : 9780486789484
Genre : Mathematics
File Size : 30. 58 MB
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Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. Only a slight acquaintance with mathematics beyond the high-school level is necessary, including some familiarity with calculus and linear algebra. This text's introductions to several branches of geometry feature topics and treatments based on memorability and relevance. The author emphasizes connections with calculus and simple mechanics, focusing on developing students' grasp of spatial relationships. Subjects include classical Euclidean material, polygonal and circle isoperimetry, conics and Pascal's theorem, geometrical optimization, geometry and trigonometry on a sphere, graphs, convexity, and elements of differential geometry of curves. Additional material may be conveniently introduced in several places, and each chapter concludes with exercises of varying degrees of difficulty.

Differential Geometry

Author : Erwin Kreyszig
ISBN : 0486667219
Genre : Mathematics
File Size : 41. 7 MB
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Text from preface: "This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space"

Linear Geometry

Author : Rafael Artzy
ISBN : 0486466272
Genre : Mathematics
File Size : 77. 37 MB
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Most linear algebra texts neglect geometry in general and linear geometry in particular. This text for advanced undergraduates and graduate students stresses the relationship between algebra and linear geometry. It begins by using the complex number plane as an introduction to a variety of transformations and their groups in the Euclidean plane, explaining algebraic concepts as they arise. A brief account of Poincaré's model of the hyperbolic plane and its transformation group follow. Succeeding chapters contain a systematic treatment of affine, Euclidean, and projective spaces over fields that emphasizes transformations and their groups, along with an outline of results involving other geometries. An examination of the foundations of geometry starts from rudimentary projective incidence planes, then gradually adjoins axioms and develops various non-Desarguesian, Desarguesian, and Pappian planes, their corresponding algebraic structures, and their collineation groups. The axioms of order, continuity, and congruence make their appearance and lead to Euclidean and non-Euclidean planes. Lists of books for suggested further reading follow the third and fourth chapters, and the Appendix provides lists of notations, axioms, and transformation groups.

Geometry A Comprehensive Course

Author : Dan Pedoe
ISBN : 9780486131733
Genre : Mathematics
File Size : 24. 94 MB
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Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Invitation To Combinatorial Topology

Author : Maurice Fréchet
ISBN : 9780486147888
Genre : Mathematics
File Size : 32. 89 MB
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Elementary text, accessible to anyone with a background in high school geometry, covers problems inherent to coloring maps, homeomorphism, applications of Descartes' theorem, topological polygons, more. Includes 108 figures. 1967 edition.

Foundations Of Geometry

Author : C. R. Wylie
ISBN : 9780486472140
Genre : Education
File Size : 33. 31 MB
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Explains geometric theories and shows many examples.

Introduction To Projective Geometry

Author : C. R. Wylie
ISBN : 9780486141701
Genre : Mathematics
File Size : 28. 43 MB
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This introductory volume offers strong reinforcement for its teachings, with detailed examples and numerous theorems, proofs, and exercises, plus complete answers to all odd-numbered end-of-chapter problems. 1970 edition.

Geometry Of Complex Numbers

Author : Hans Schwerdtfeger
ISBN : 9780486135861
Genre : Mathematics
File Size : 83. 97 MB
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Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

Differential Geometry

Author : Heinrich W. Guggenheimer
ISBN : 9780486157207
Genre : Mathematics
File Size : 88. 65 MB
Format : PDF
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This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.

Introductory Non Euclidean Geometry

Author : Henry Parker Manning
ISBN : 9780486154640
Genre : Mathematics
File Size : 42. 34 MB
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This fine and versatile introduction begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. 1901 edition.

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